To solve the expression 5⁶ + ⅞ - 1, we can break it down step by step.
First, let's calculate 5⁶ (5 raised to the power of 6):
5⁶ = 5×5×5×5×5×5 = 15625
Next, let's add the value obtained above to ⅞:
15625 + ⅞
To add fractions, we need a common denominator. The common denominator here will be 8:
15625 + ⅞ = 15625/1 + 7/8 = (15625×8 + 1×7) / 8 = 125000/8 + 7/8 = 125007/8
Finally, let's subtract 1 from the fraction we obtained above:
125007/8 - 1
To subtract fractions, we again need a common denominator, which is 8:
125007/8 - 1 = 125007/8 - 8/8 = (125007 - 8) / 8 = 125999/8
So, the simplified expression is 125999/8.
